Understanding Peano Arithmetic: The Foundation of Natural Numbers ๐Ÿ“˜

Discover the basics of Peano Arithmetic, including its five postulates, axioms for addition and multiplication, and how recursion defines natural numbers. Perfect for beginners!

Understanding Peano Arithmetic: The Foundation of Natural Numbers ๐Ÿ“˜
Carneades.org
17.2K views โ€ข Jun 26, 2016
Understanding Peano Arithmetic: The Foundation of Natural Numbers ๐Ÿ“˜

About this video

An explication of Peano Arithmetic, including the five Peano Postulates, the Axioms of Addition and Multiplication, the use of recursion to define the natural numbers, an explanation of mathematical induction as well as several proofs using these axioms and rules.

Sponsors: Daniel Helland, Will Roberts, Dennis Sexton, and โˆš2. Thanks for your support!

Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy and more!

Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy and more!

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17.2K

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Duration

45:15

Published

Jun 26, 2016

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